65th ISI World Statistics Congress 2025

65th ISI World Statistics Congress 2025

Measures of Evidence in a Bayesian Context, Applications and New Developments

Organiser

MM
Monica Musio

Participants

  • MM
    Prof. Monica Musio
    (Chair)

  • JS
    Prof. Julio Stern
    (Presenter/Speaker)
  • The e-value and the full Bayesian significance test: Local properties and philosophical consequences

  • EB
    Miss ELENA BORTOLATO
    (Presenter/Speaker)
  • Invariant evidence measures with nuisance parameters

  • SC
    Dr Silvia Columbu
    (Presenter/Speaker)
  • The Bayesian Discrepancy Measure as a tool for inference: Definition and applications for regular and non-regular models

  • LV
    Prof. Laura Ventura
    (Discussant)

  • Category: Other

    Proposal Description

    This session brings together some of the most recent measures of evidence introduced in the Bayesian statistical literature.
    These measures, specifically designed to solve problems of sharp or precise statistical hypotheses, are based on the idea of quantifying the discrepancy between the a posteriori distribution and the hypothesis of interest. This quantification can be done in various ways, e.g. by using the posterior median as a benchmark in univariate cases or by examining the 'tangent set', i.e. the set with the highest density under the null hypothesis. This session aims to show the adaptability of these measures by highlighting recent advances in both theoretical developments and real-world applications. Contributions range from the use of these measures in scenarios involving multi-parametric and non-standard models, showing their wide utility and relevance.